I don’t know what metric (method of measuring distance) you use for configuration space. But assume it’s the standard, familiar Euclidean distance metric. Then if you have one particle in two blobs separated by 1 unit, it’s 1 unit distant. If you have two, it’s now separated by 1 unit along each of two axes, so it’s sqrt(2) distant. For N particles in two blobs, the blobs are sqrt(N) distant.
I don’t know what metric (method of measuring distance) you use for configuration space. But assume it’s the standard, familiar Euclidean distance metric. Then if you have one particle in two blobs separated by 1 unit, it’s 1 unit distant. If you have two, it’s now separated by 1 unit along each of two axes, so it’s sqrt(2) distant. For N particles in two blobs, the blobs are sqrt(N) distant.